Discreet Quanta versus the Continuous Electromagnetic Spectrum

In summary: Then what's the point?In summary, photons are quantized but their energy is always in inverse proportion to their wavelength.
  • #1
Mcellucci
8
0
How can discreet quanta of photon energy make up a continuous electromagnetic spectrum, whose wavelengths are any arbitrary value? Is there overlap of quanta, temperature dependency, or so many finely divided energy levels that the spectrum just appears continuous? Electron energies are quantized as are the photons emitted, but wavelengths are any length whatsoever. Are there any wavelengths that have never been "seen"?
What am i missing?
 
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  • #2
Mcellucci said:
How can discreet quanta of photon energy make up a continuous electromagnetic spectrum, whose wavelengths are any arbitrary value? Is there overlap of quanta, temperature dependency, or so many finely divided energy levels that the spectrum just appears continuous? Electron energies are quantized as are the photons emitted, but wavelengths are any length whatsoever. Are there any wavelengths that have never been "seen"?
What am i missing?

I think what you are missing is that photons are not waves and they are not particles, they are quantum objects. If you measure wave behavior, you GET wave behavior (with no quantization). If you measure particle behavior, you GET particle behavior (with quantization). Thinking of quantum objects as classical objects leads to this kind of confusion.
 
  • #3
Yet, isn't Planck's constant a quantum function which relates energy to wavelength?
 
  • #4
* Photons are quantized in that they come in discrete units, but you can have a photon with any frequency. It's just that 500 nm light, say, always comes in packets (photons) with energy 6.23e-20 Joules.

* In general, the allowed energy levels of a particle get quantized if you confine the particle to a finite region. Electrons in atoms are bound by the electric field of a nucleus to orbit within a small region around the nucleus, and so the electrons only have a discrete set of allowed energy level. Photons propagate freely through space, and so their allowed energy levels are not quantized. Free electrons, which are not currently part of any atom, can also have any energy. Conversely, If you build a closed box with mirrors on the inside to contain photons, the photons you trap will only be able to occupy a discrete set of energy levels. (The spacing between the energy levels gets smaller as you increase the size of the box, so this goes over smoothly to the free space situation as you increase the size of the box.)
 
  • #5
Oh, I get it, now. The wavelength can be changed arbitrarily but the energy in it is in constant inverse porportion to it. And free photons are not quantized in free space. Hmm...but how would you know that? Free photons can't be measured, can they? Only after their wave function collapses? No?
 
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Related to Discreet Quanta versus the Continuous Electromagnetic Spectrum

1. What is the difference between discreet quanta and the continuous electromagnetic spectrum?

Discreet quanta refers to the idea that energy and matter can only exist in specific, discrete amounts or units. This is in contrast to the continuous electromagnetic spectrum, which is a range of all possible frequencies of electromagnetic radiation. In other words, discreet quanta suggests that energy and matter can only exist in certain increments, while the continuous electromagnetic spectrum suggests that energy and matter can exist in any amount within a given range.

2. How does the concept of discreet quanta relate to quantum mechanics?

The concept of discreet quanta is a fundamental principle in quantum mechanics, which is the branch of physics that studies the behavior of matter and energy on a very small scale. Quantum mechanics explains that energy and matter can only exist in specific, discreet amounts, and this principle is essential in understanding many phenomena at the atomic and subatomic levels.

3. Can you provide an example of discreet quanta in action?

An example of discreet quanta is the behavior of electrons in an atom. Electrons can only exist in specific energy levels, and they can only move between these levels by absorbing or emitting discreet amounts of energy in the form of photons. This can be observed in the emission spectrum of an element, where discreet lines of light are emitted at specific wavelengths corresponding to the energy differences between electron energy levels.

4. How does the concept of the continuous electromagnetic spectrum apply to everyday life?

The continuous electromagnetic spectrum is present in many everyday technologies and phenomena. For example, visible light is a part of the continuous electromagnetic spectrum, and it allows us to see objects and colors. The spectrum also includes radio waves, which are used for communication, and microwaves, which are used for cooking. X-rays and gamma rays, which are higher energy forms of radiation, are used in medical imaging and cancer treatment.

5. Can discreet quanta and the continuous electromagnetic spectrum coexist?

Yes, discreet quanta and the continuous electromagnetic spectrum can coexist. While discreet quanta suggests that energy and matter can only exist in certain increments, the continuous electromagnetic spectrum encompasses all possible frequencies of electromagnetic radiation. This means that discreet quanta is a more specific concept within the larger context of the continuous electromagnetic spectrum.

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